Search a number
-
+
11110001110110 = 2325733015342297
BaseRepresentation
bin1010000110101011111110…
…1010110110110001011110
31110100002212002011001110200
42201222333222312301132
52424011240241010420
635343510345044330
72224446120166260
oct241527752666136
943302762131420
1011110001110110
1135a37a7a98071
1212b5238a866a6
1362788cc1c316
142a5a26967b30
15143ee3920b90
hexa1abfab6c5e

11110001110110 has 96 divisors (see below), whose sum is σ = 33022581688512. Its totient is φ = 2538659059200.

The previous prime is 11110001110069. The next prime is 11110001110111. The reversal of 11110001110110 is 1101110001111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110001110092 and 11110001110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110001110111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591519 + ... + 4750778.

It is an arithmetic number, because the mean of its divisors is an integer number (343985225922).

Almost surely, 211110001110110 is an apocalyptic number.

11110001110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11110001110110 is an abundant number, since it is smaller than the sum of its proper divisors (21912580578402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11110001110110 is a wasteful number, since it uses less digits than its factorization.

11110001110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345618 (or 5345615 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11110001110110 its reverse (1101110001111), we get a palindrome (12211111111221).

The spelling of 11110001110110 in words is "eleven trillion, one hundred ten billion, one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3301 6602 9903 16505 19806 23107 29709 33010 46214 49515 59418 69321 99030 115535 138642 148545 207963 231070 297090 346605 415926 693210 1039815 2079630 5342297 10684594 16026891 26711485 32053782 37396079 48080673 53422970 74792158 80134455 96161346 112188237 160268910 186980395 224376474 240403365 336564711 373960790 480806730 560941185 673129422 1121882370 1682823555 3365647110 17634922397 35269844794 52904767191 88174611985 105809534382 123444456779 158714301573 176349223970 246888913558 264523835955 317428603146 370333370337 529047671910 617222283895 740666740674 793571507865 1111000111011 1234444567790 1587143015730 1851666851685 2222000222022 3703333703370 5555000555055 11110001110110